| 三自由度二阶非线性耦合动力学系统守恒量的扩展Prelle-Singer求法 |
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| 引用本文： | 楼智美.三自由度二阶非线性耦合动力学系统守恒量的扩展Prelle-Singer求法[J].物理学报,2010,59(6):3633-3638. |
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| 作者姓名： | 楼智美 |
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| 作者单位： | 绍兴文理学院物理系,绍兴 312000 |
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| 摘 要： | 用扩展Prelle-Singer法(扩展P-S法)求三自由度二阶非线性耦合动力学系统的守恒量,得到了6个积分乘子满足的确定方程、约束方程和守恒量的一般形式,并讨论了确定积分乘子的方法.最后,用扩展P-S法求得了三质点Tada晶格问题的两个守恒量.
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| 关 键 词： | 扩展Prelle-Singer法 三自由度非线性耦合动力学系统 守恒量 |
| 收稿时间： | 2009-08-14 |
| 修稿时间： | 9/8/2009 12:00:00 AM |
Finding conserved quantities of three-dimensional second-order nonlinear coupled dynamics systems by the extended Prelle-Singer method |
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| Lou Zhi-Mei.Finding conserved quantities of three-dimensional second-order nonlinear coupled dynamics systems by the extended Prelle-Singer method[J].Acta Physica Sinica,2010,59(6):3633-3638. |
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| Authors: | Lou Zhi-Mei |
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| Institution: | Department of Physics, Shaoxing University, Shaoxing 312000, China |
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| Abstract: | In this paper, the extended Prelle-Singer (P-S) method is employed to finding the conserved quantities of three-dimensional second-order nonlinear coupled dynamic systems, the determining equations, the constraint equations of integral factors and the general expression of conserved quantities are obtained. The calculation method of integral factors is disscussed. Finally, two conserved quantities of three-particles Tada crystal lattice problem are found by extended P-S method. |
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| Keywords: | extended Prelle-Singer method three-dimensional nonlinear coupled dynamics systems conserved quantity |
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